1399033958400 has 936 divisors, whose sum is σ = 5714776496520. Its totient is φ = 324072898560.

The previous prime is 1399033958353. The next prime is 1399033958429. The reversal of 1399033958400 is 48593309931.

It is a happy number.

1399033958400 is a `hidden beast` number, since 1 + 39 + 90 + 33 + 95 + 8 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 878973751296 + 520060207104 = 937536^2 + 721152^2 .

It is a tau number, because it is divible by the number of its divisors (936).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 203670166 + ... + 203677034.

It is an arithmetic number, because the mean of its divisors is an integer number (6105530445).

Almost surely, 2^{1399033958400} is an apocalyptic number.

1399033958400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1399033958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857388248260).

1399033958400 is an abundant number, since it is smaller than the sum of its proper divisors (4315742538120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1399033958400 is a wasteful number, since it uses less digits than its factorization.

1399033958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6939 (or 6909 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 1399033958400 in words is "one trillion, three hundred ninety-nine billion, thirty-three million, nine hundred fifty-eight thousand, four hundred".